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Conservative Median Algebras and Semilattices


We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median algebras and certain topological structures, we obtain descriptions of the median-preserving mappings between products of finitely many chains.

Dates and versions

hal-01175696 , version 1 (11-07-2015)



Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux. Conservative Median Algebras and Semilattices. Order, 2016, 33 (1), pp.121-132. ⟨10.1007/s11083-015-9356-x⟩. ⟨hal-01175696⟩
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